If the first-order phase transition occurs in the early Universe, gravitational waves (GWs) can be produced [1]}.
The strongly first-order EWPT predicts specific form of GW spectrum, which is sensitive to the detailed shape of the Higgs potential of extended models from the SM.
The peak frequency of the GW spectrum from the EWPT is typically \(10^{-3}\)  – \(10^{-1}\) Hz, which can be tested at the future space-based GW interferometers, such as Laser Interferometer Space Antenna (LISA) [2]} and DECi-hertz Interferometer Gravitational Wave Observatory (DECIGO) [3]}.
In recent years, many authors have studied complementarity of future collider experiments and future space-based GW observations [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}, [19]}, [20]}, [21]}, [22]}, [23]}, [24]}, [25]}.
